Crown Molding worksheet

1. Miter setting (molding flat on the saw): 35.26 °

1. Half the wall angle: each piece covers half the corner

   $\frac{90}{2}$$=45\text{\hspace{0.17em}°}$

2. Find the miter for a flat cut. This trig formula combines the spring angle with half the corner

   $\text{arctan}\frac{\text{sin}45\text{\hspace{0.17em}°}\times \text{cos}45\text{\hspace{0.17em}°}}{\text{sin}45\text{\hspace{0.17em}°}}$$=\text{arctan}\frac{0.707107\times 0.707107}{0.707107}$$=35.2644\text{\hspace{0.17em}°}$

3. Find the bevel (blade tilt) for a flat cut, again from the spring angle and half the corner

   $\text{arcsin}\text{cos}45\text{\hspace{0.17em}°}\times \text{cos}45\text{\hspace{0.17em}°}$$=\text{arcsin}0.707107\times 0.707107$$=30\text{\hspace{0.17em}°}$

4. For a nested cut (upside down against the fence), the molding is already tilted. So the miter is just 90° minus half the corner, with no bevel

   $90-45$$=45\text{\hspace{0.17em}°}$

2. Miter setting (molding flat on the saw): 27.32 °

1. Half the wall angle: each piece covers half the corner

   $\frac{100}{2}$$=50\text{\hspace{0.17em}°}$

2. Find the miter for a flat cut. This trig formula combines the spring angle with half the corner

   $\text{arctan}\frac{\text{sin}38\text{\hspace{0.17em}°}\times \text{cos}50\text{\hspace{0.17em}°}}{\text{sin}50\text{\hspace{0.17em}°}}$$=\text{arctan}\frac{0.615661\times 0.642788}{0.766044}$$=27.3209\text{\hspace{0.17em}°}$

3. Find the bevel (blade tilt) for a flat cut, again from the spring angle and half the corner

   $\text{arcsin}\text{cos}38\text{\hspace{0.17em}°}\times \text{cos}50\text{\hspace{0.17em}°}$$=\text{arcsin}0.788011\times 0.642788$$=30.4325\text{\hspace{0.17em}°}$

4. For a nested cut (upside down against the fence), the molding is already tilted. So the miter is just 90° minus half the corner, with no bevel

   $90-50$$=40\text{\hspace{0.17em}°}$

3. Miter setting (molding flat on the saw): 38.24 °

1. Half the wall angle: each piece covers half the corner

   $\frac{76}{2}$$=38\text{\hspace{0.17em}°}$

2. Find the miter for a flat cut. This trig formula combines the spring angle with half the corner

   $\text{arctan}\frac{\text{sin}38\text{\hspace{0.17em}°}\times \text{cos}38\text{\hspace{0.17em}°}}{\text{sin}38\text{\hspace{0.17em}°}}$$=\text{arctan}\frac{0.615661\times 0.788011}{0.615661}$$=38.2385\text{\hspace{0.17em}°}$

3. Find the bevel (blade tilt) for a flat cut, again from the spring angle and half the corner

   $\text{arcsin}\text{cos}38\text{\hspace{0.17em}°}\times \text{cos}38\text{\hspace{0.17em}°}$$=\text{arcsin}0.788011\times 0.788011$$=38.3863\text{\hspace{0.17em}°}$

4. For a nested cut (upside down against the fence), the molding is already tilted. So the miter is just 90° minus half the corner, with no bevel

   $90-38$$=52\text{\hspace{0.17em}°}$

4. Miter setting (molding flat on the saw): 38.74 °

1. Half the wall angle: each piece covers half the corner

   $\frac{75}{2}$$=37.5\text{\hspace{0.17em}°}$

2. Find the miter for a flat cut. This trig formula combines the spring angle with half the corner

   $\text{arctan}\frac{\text{sin}38\text{\hspace{0.17em}°}\times \text{cos}37.5\text{\hspace{0.17em}°}}{\text{sin}37.5\text{\hspace{0.17em}°}}$$=\text{arctan}\frac{0.615661\times 0.793353}{0.608761}$$=38.7417\text{\hspace{0.17em}°}$

3. Find the bevel (blade tilt) for a flat cut, again from the spring angle and half the corner

   $\text{arcsin}\text{cos}38\text{\hspace{0.17em}°}\times \text{cos}37.5\text{\hspace{0.17em}°}$$=\text{arcsin}0.788011\times 0.793353$$=38.6947\text{\hspace{0.17em}°}$

4. For a nested cut (upside down against the fence), the molding is already tilted. So the miter is just 90° minus half the corner, with no bevel

   $90-37.5$$=52.5\text{\hspace{0.17em}°}$

5. Miter setting (molding flat on the saw): 44.02 °

1. Half the wall angle: each piece covers half the corner

   $\frac{65}{2}$$=32.5\text{\hspace{0.17em}°}$

2. Find the miter for a flat cut. This trig formula combines the spring angle with half the corner

   $\text{arctan}\frac{\text{sin}38\text{\hspace{0.17em}°}\times \text{cos}32.5\text{\hspace{0.17em}°}}{\text{sin}32.5\text{\hspace{0.17em}°}}$$=\text{arctan}\frac{0.615661\times 0.843391}{0.5373}$$=44.0209\text{\hspace{0.17em}°}$

3. Find the bevel (blade tilt) for a flat cut, again from the spring angle and half the corner

   $\text{arcsin}\text{cos}38\text{\hspace{0.17em}°}\times \text{cos}32.5\text{\hspace{0.17em}°}$$=\text{arcsin}0.788011\times 0.843391$$=41.6518\text{\hspace{0.17em}°}$

4. For a nested cut (upside down against the fence), the molding is already tilted. So the miter is just 90° minus half the corner, with no bevel

   $90-32.5$$=57.5\text{\hspace{0.17em}°}$

6. Miter setting (molding flat on the saw): 40.12 °

1. Half the wall angle: each piece covers half the corner

   $\frac{80}{2}$$=40\text{\hspace{0.17em}°}$

2. Find the miter for a flat cut. This trig formula combines the spring angle with half the corner

   $\text{arctan}\frac{\text{sin}45\text{\hspace{0.17em}°}\times \text{cos}40\text{\hspace{0.17em}°}}{\text{sin}40\text{\hspace{0.17em}°}}$$=\text{arctan}\frac{0.707107\times 0.766044}{0.642788}$$=40.1207\text{\hspace{0.17em}°}$

3. Find the bevel (blade tilt) for a flat cut, again from the spring angle and half the corner

   $\text{arcsin}\text{cos}45\text{\hspace{0.17em}°}\times \text{cos}40\text{\hspace{0.17em}°}$$=\text{arcsin}0.707107\times 0.766044$$=32.7978\text{\hspace{0.17em}°}$

4. For a nested cut (upside down against the fence), the molding is already tilted. So the miter is just 90° minus half the corner, with no bevel

   $90-40$$=50\text{\hspace{0.17em}°}$

7. Miter setting (molding flat on the saw): 36.27 °

1. Half the wall angle: each piece covers half the corner

   $\frac{80}{2}$$=40\text{\hspace{0.17em}°}$

2. Find the miter for a flat cut. This trig formula combines the spring angle with half the corner

   $\text{arctan}\frac{\text{sin}38\text{\hspace{0.17em}°}\times \text{cos}40\text{\hspace{0.17em}°}}{\text{sin}40\text{\hspace{0.17em}°}}$$=\text{arctan}\frac{0.615661\times 0.766044}{0.642788}$$=36.2681\text{\hspace{0.17em}°}$

3. Find the bevel (blade tilt) for a flat cut, again from the spring angle and half the corner

   $\text{arcsin}\text{cos}38\text{\hspace{0.17em}°}\times \text{cos}40\text{\hspace{0.17em}°}$$=\text{arcsin}0.788011\times 0.766044$$=37.1318\text{\hspace{0.17em}°}$

4. For a nested cut (upside down against the fence), the molding is already tilted. So the miter is just 90° minus half the corner, with no bevel

   $90-40$$=50\text{\hspace{0.17em}°}$

8. Miter setting (molding flat on the saw): 23.32 °

1. Half the wall angle: each piece covers half the corner

   $\frac{110}{2}$$=55\text{\hspace{0.17em}°}$

2. Find the miter for a flat cut. This trig formula combines the spring angle with half the corner

   $\text{arctan}\frac{\text{sin}38\text{\hspace{0.17em}°}\times \text{cos}55\text{\hspace{0.17em}°}}{\text{sin}55\text{\hspace{0.17em}°}}$$=\text{arctan}\frac{0.615661\times 0.573576}{0.819152}$$=23.3204\text{\hspace{0.17em}°}$

3. Find the bevel (blade tilt) for a flat cut, again from the spring angle and half the corner

   $\text{arcsin}\text{cos}38\text{\hspace{0.17em}°}\times \text{cos}55\text{\hspace{0.17em}°}$$=\text{arcsin}0.788011\times 0.573576$$=26.8711\text{\hspace{0.17em}°}$

4. For a nested cut (upside down against the fence), the molding is already tilted. So the miter is just 90° minus half the corner, with no bevel

   $90-55$$=35\text{\hspace{0.17em}°}$

9. Miter setting (molding flat on the saw): 18.25 °

1. Half the wall angle: each piece covers half the corner

   $\frac{130}{2}$$=65\text{\hspace{0.17em}°}$

2. Find the miter for a flat cut. This trig formula combines the spring angle with half the corner

   $\text{arctan}\frac{\text{sin}45\text{\hspace{0.17em}°}\times \text{cos}65\text{\hspace{0.17em}°}}{\text{sin}65\text{\hspace{0.17em}°}}$$=\text{arctan}\frac{0.707107\times 0.422618}{0.906308}$$=18.2489\text{\hspace{0.17em}°}$

3. Find the bevel (blade tilt) for a flat cut, again from the spring angle and half the corner

   $\text{arcsin}\text{cos}45\text{\hspace{0.17em}°}\times \text{cos}65\text{\hspace{0.17em}°}$$=\text{arcsin}0.707107\times 0.422618$$=17.3877\text{\hspace{0.17em}°}$

4. For a nested cut (upside down against the fence), the molding is already tilted. So the miter is just 90° minus half the corner, with no bevel

   $90-65$$=25\text{\hspace{0.17em}°}$

10. Miter setting (molding flat on the saw): 19.57 °

1. Half the wall angle: each piece covers half the corner

   $\frac{120}{2}$$=60\text{\hspace{0.17em}°}$

2. Find the miter for a flat cut. This trig formula combines the spring angle with half the corner

   $\text{arctan}\frac{\text{sin}38\text{\hspace{0.17em}°}\times \text{cos}60\text{\hspace{0.17em}°}}{\text{sin}60\text{\hspace{0.17em}°}}$$=\text{arctan}\frac{0.615661\times 0.5}{0.866025}$$=19.5679\text{\hspace{0.17em}°}$

3. Find the bevel (blade tilt) for a flat cut, again from the spring angle and half the corner

   $\text{arcsin}\text{cos}38\text{\hspace{0.17em}°}\times \text{cos}60\text{\hspace{0.17em}°}$$=\text{arcsin}0.788011\times 0.5$$=23.204\text{\hspace{0.17em}°}$

4. For a nested cut (upside down against the fence), the molding is already tilted. So the miter is just 90° minus half the corner, with no bevel

   $90-60$$=30\text{\hspace{0.17em}°}$